1,004,080

2⁴ × 5 × 7 × 11 × 163

Starting at 1,004,080, the Collatz iteration reaches 1 after 152 steps. The first transition is 502040; the starting value is even with 80 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 5 × 7 × 11 × 163

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 2,928,384

Proper Divisor Sum 1,924,304

Digit Sum / Digital Root 13 (Root: 4)

Adjacent Primes #1004077 ← → #1004089

Radix Representation

Decimal	1004080
Binary	11110101001000110000 (20 bits)
Octal	0o3651060
Hexadecimal	0xF5230

Divisor Catalog (60 of 80)

1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 163 176 220 280 308 326 385 440 560 616 652 770 815 880 1,141 1,232 1,304 1,540 1,630 1,793 2,282 2,608 3,080 3,260 3,586 4,564 5,705 6,160 6,520 7,172 8,965 9,128 11,410 12,551

Collatz Trajectory (152 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

1,004,080 502,040 251,020 125,510 62,755 188,266 94,133 282,400 141,200 70,600 35,300 17,650 8,825 26,476 13,238 6,619 19,858 9,929 29,788 14,894 7,447 22,342 11,171 33,514 16,757 50,272 25,136 12,568 6,284 3,142 1,571 4,714 2,357 7,072 3,536 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182

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